This article addresses the problem of portfolio construction in the context of efficient hedge fund investments replication. We propose a modification to the standard à la Sharpe “style analysis” by introducing a constraint on the asset weights 1-norm and 2-norm. This constraint regularizes...

The article presents a quantitative strategy in which comparison of short-term asset price movement with corresponding middle-term asset volatility is used for determination of the size of opening position when buy signal is obtained from trend following model. The strategy is named as...

A successful long-term financial plan depends on the correspondence of projected returns and actual returns. Simulation results are subject to the effects of differences between implementation fund(s) attributes and asset class attributes used in the simulation. Thus, simulation outcomes and...

These days it's become convention (reinforced by the media's treatment of wealth) to assess our net worth by tallying up the market value of our financial assets, even though it's more natural and useful to think of our wealth as a stream of dollars over time given the nature of our income and...

In understanding how leveraged ETFs perform, we'll uncover an important lesson relevant to all investing: how your choice of investment size can be more important than your choice of investment. To summarize, highly leveraged long and short ETFs provide a perfect illustration of how...

There has been considerable research into dynamic global tactical asset allocation (GTAA) strategies driven by simple measures of Valuation and Momentum applied to a baseline balanced portfolio of equities and fixed income (see Blitz and van Vliet 2008, Wang and Kochard 2011, Gnedenko and Yelnik...

The longest bull market in US stock market history is over. Uncertainty over the public health and economic impact of the coronavirus pandemic will keep markets extremely volatile, making it likely we'll touch a wide range of price levels in the months ahead. Amidst such uncertainty, it's a...

We present the first step in a program to develop a comprehensive, unified equilibrium theory of asset and liability pricing. We give a mathematical framework for pricing insurance products in a multiperiod financial market. This framework reflects classical economic principles (like utility...

Modern portfolio theory produces optimal portfolios from estimates of expected returns and a covariance matrix. Such optimal portfolios are efficient portfolios, that is they provide the maximum level of expected return for a given level of risk. We present a method for portfolio selection based...